Search a number
-
+
58963058 = 2711234807
BaseRepresentation
bin1110000011101…
…1010001110010
311002221122002222
43200323101302
5110043304213
65503441042
71314114650
oct340732162
9132848088
1058963058
1130312900
12178b6182
13c2a5cab
147b8bdd0
15529a808
hex383b472

58963058 has 24 divisors (see below), whose sum is σ = 111107136. Its totient is φ = 22971960.

The previous prime is 58963057. The next prime is 58963067. The reversal of 58963058 is 85036985.

58963058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×589630583 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (58963057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15710 + ... + 19097.

It is an arithmetic number, because the mean of its divisors is an integer number (4629464).

Almost surely, 258963058 is an apocalyptic number.

58963058 is a deficient number, since it is larger than the sum of its proper divisors (52144078).

58963058 is a wasteful number, since it uses less digits than its factorization.

58963058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34838 (or 34827 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 58963058 is about 7678.7406519559. The cubic root of 58963058 is about 389.2183731693.

The spelling of 58963058 in words is "fifty-eight million, nine hundred sixty-three thousand, fifty-eight".

Divisors: 1 2 7 11 14 22 77 121 154 242 847 1694 34807 69614 243649 382877 487298 765754 2680139 4211647 5360278 8423294 29481529 58963058